We consider how to teleport two-and three-mode Einstein-Podolsky-Rosen entangled states (|η> and |pt,χ2,χ3>) via a |pt,χ2,χs> quantum channel for continuous variables. Using the complete and orthogonal representation of the entangled states, we can not only find the a complete basis set for the joint measurement but also propose the specific scheme of teleportation. Our calculation can be greatly simplified by using their Schmidt decompositions.